Free groceries To attract shoppers, a supermarket runsa weekly contest that involves “scratch-off” cards. Witheach purchase, customers get a card with a black spotobscuring a message. When the spot is scratched away,most of the cards simply say, “Sorry—please try again.” But during the week, 100 customers will get cards thatmake them eligible for a drawing for free groceries. Tenof the cards say they may be worth $200, 10 others say$100, 20 may be worth $50, and the rest could be worth$20. To register those cards, customers write their nameson them and put them in a barrel at the front of the store.At the end of the week the store manager draws cards atrandom, awarding the lucky customers free groceries in the amount specified on their card. The drawings con-tinue until the store has given away more than $500 of free groceries. Estimate the average number of winnerseach week.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
icon
Related questions
Topic Video
Question

Free groceries To attract shoppers, a supermarket runs
a weekly contest that involves “scratch-off” cards. With
each purchase, customers get a card with a black spot
obscuring a message. When the spot is scratched away,
most of the cards simply say, “Sorry—please try again.”

But during the week, 100 customers will get cards that
make them eligible for a drawing for free groceries. Ten
of the cards say they may be worth $200, 10 others say
$100, 20 may be worth $50, and the rest could be worth
$20. To register those cards, customers write their names
on them and put them in a barrel at the front of the store.
At the end of the week the store manager draws cards at
random, awarding the lucky customers free groceries in
the amount specified on their card. The drawings con-
tinue until the store has given away more than $500 of
free groceries. Estimate the average number of winners
each week.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,